Question

The angles of a triangle are in the ratio 3 : 2 : 7. Find the measure of each of its angles.

Answer 1

Let the angles measure $\left(3x\right)°,\left(2x\right)°\text{and}\left(7x\right)°$.
Then,
$$\begin{gathered} 3x+2x+7x=180°\left[\text{Sum of the angles of a triangle}\right] \\ \Rightarrow 12x=180° \\ \Rightarrow x=15° \end{gathered}$$
Therefore, the measures of its angles are $3\times 15°=45°,2\times 15°=30°\text{and}7\times 15°=105°$.